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Sum of two numbers is 95. If one exceeds the other by 15, find the numbers.

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Sum of two numbers is 95. If one exceeds the other by 15, find the numbers.

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Let one of the numbers be = x.

Then, the other number becomes x + 15

According to the question,

x + x + 15 = 95

⇒ 2x + 15 = 95

⇒ 2x = 95 – 15

⇒ 2x = 80

⇒ x = \(\frac{80}{2}\)

⇒ x = 40

First number = x = 40

And, other number = x + 15

= 40 + 15

= 55

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